What is the 2369th prime number?
The 2369th prime number is 21061. The next prime is 21067 (a gap of 6) and the one before is 21059.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2369th one is 21061.
- 2
21061 is prime because no prime up to ā21061 ā 145.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2369th prime is close to 2369 Ć ln(2369) ā 18408, and here it is 21061.
- 4
21061 is a twin prime: 21059 and 21061 are both prime.
Primes around the 2369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
Questions
What is the 2369th prime number?
21061.
Which prime number is 21061?
21061 is the 2369th prime number.
What is the sum of the first 2369 primes?
23,368,026.